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soldi70 [24.7K]
3 years ago
14

Figure WXYZ is a parallelogram.

Mathematics
2 answers:
vovangra [49]3 years ago
6 0

Answer:

Hence, the correct answer is:

  • m∠X=55°
  • m∠Z=55°
  • m∠W=125°

Step-by-step explanation:

We know that consecutive angles of a parallelogram are supplementary.

As m∠Y=125°.

Hence, by the above property we have:

m∠Y+m∠X=180°

125°+m∠X=180°

Hence, m∠X=180°-125°

⇒ m∠X=55°

Also,

m∠Y+m∠Z=180°

⇒ 125°+m∠Z=180°

⇒ m∠Z=180°-125°

⇒ m∠Z=55°

Also, m∠Z+m∠W=180°

⇒ 55°+m∠W=180°

⇒ m∠W=180°-55°

⇒  m∠W=125°

Viktor [21]3 years ago
3 0
M<X=55° hope this helps
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Please answer this correctly
elena-s [515]

Answer:

30

Step-by-step explanation:

If these two shapes are similar, then ratios of corresponding sides will stay constant. Therefore:

\dfrac{g}{45}=\dfrac{50}{75}

Multiply both sides by 45:

g=\dfrac{50\cdot 45}{75}=30

Hope this helps!

8 0
2 years ago
Tyler baked 702 cookies. He sold them in boxes of 1i. After selling all the boxes of cookies for the same amount each he earned
ikadub [295]

Answer:

$3.5

Step-by-step explanation:

We have been given that Tyler baked 702 cookies. He sold them in boxes of 18.

First of all we will find the number of boxes of cookies by dividing 702 by 18.

\text{Number of boxes of cookies}=\frac{702}{18}

\text{Number of boxes of cookies}=39

We are told that after selling all the boxes of cookies for the same amount each he earned $136.50. To find the cost of each box we will divide 136.50 by 39.

\text{The cost of one box}=\frac{136.50}{39}

\text{The cost of one box}=3.5

Therefore, the cost of one box of cookies is $3.5.

6 0
2 years ago
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vesna_86 [32]
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3 0
3 years ago
Given: △CGF ,CG=GF=CF=and, KOPS is a square inside this triangle with one side on CF and its two vertices on CG and GF
shepuryov [24]

Answer:

  AKPOS/ACGF = 28√3 -48 ≈ 0.497423

Step-by-step explanation:

Let's assume the square is a unit square. Then the height of the triangle is ...

  1 +(√3)/2 = h

and half the base of the triangle is ...

  h/√3 = (√3)/3 +1/2 = b/2

The area of the triangle is the product of these:

  A = (1/2)bh

  = (2 +√3)/2 × (3 +2√3)/6

  = (6 +3√3 +4√3 +6)/12 = (12 +7√3)/12

So, the ratio of the area of the square to that of the triangle is the inverse of this, or ...

  (square area)/(triangle area) = 12/(12+7√3)

  (square area)/(triangle area) = 28√3 -48

8 0
3 years ago
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